L^p Insensitizing Control Problem for the Heat Equation

Mauricio Santos (Federal Univ. of Paraiba, Brazil)

In this presentation, I will discuss an ongoing project focused on the insensitizing control problem for the heat equation. In the classical literature on this subject, the functional to be insensitized is the L^2 norm of the state function concerning small variations in the initial data. In this work, we extend this result to a class of L^p norms of the state, where p is an even integer.